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3 years ago

You randomly survey students about year-round school. The results are shown in the graph.

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

27% and 37%

Step-by-step explanation:

Percentage of students who oppose the year-round school = 68%

Percentage of students who support the year-round school = 32%

Margin of error = ± 5%

We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.

Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%

This thing can be expressed as absolute valued equation as:

| x - 32 | = 5

Here x represents the least and greatest percentages.

Expanding the equation, we can write:

x - 32 = -5 or x - 32 = 5

x = -5 + 32 or x = 5 + 32

x = 27% x= 37%

This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.

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Avi uses 11 toothpicks to form a row of 5 attached triangles, as shown. Suppose he continues this pattern, using 89 toothpicks i

Pavel [41]

Answer:

Step-by-step explanation:

Given that Avi used 11 toothpicks to form a row of 5 attached triangles.

Total number of toothpicks used = 89

Let the total number of triangles formed be represented by x, so that:

11 toothpicks = 5 triangles

It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;

the average number of toothpicks for 1 triangle = $\frac{11}{5}$

= 2.2

The number of toothpicks per triangle = 2.0

Thus,

x = $\frac{89}{2.0}$

= 44.5

x = 44

The total number of triangles formed is 44.

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3 years ago

There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song

bazaltina [42]

Answer:

y=1.29x+10

Step-by-step explanation:

y=mx+b

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3 years ago

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Tim and Tom are painters. Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint is s

antiseptic1488 [7]

This is the concept algebra.
Volume of of paint that is required to paint large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
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3 years ago

Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much ar

KATRIN_1 [288]

D. 192in^2

This would be a simple area problem with a triangle. REMEMBER THIS EQUATION: a=bh*1/2 (b for base and h for height, these are multiplied together then that answer is halved out.)

So we just need to plug in our values into the equation, so the equation would look like a= (16)*(24)*1/2. 16 times 24 would then give you 384, you could either divide by 2 or multiply by 0.5 to get the next answer, as long as your HALVING the answer.

So we have our bh value so now we can multiply by 1/2 which will give us 384*1/2 which leaves us with 192.

I have also attached a photo of doing a longer(ish) way than this, that also proves that this equation works. Either one will provide you an answer.

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3 years ago

Consider vectors u and v, where u = (1, -1) and v = (1, 1). What is the measure of the angle between the vectors?

7nadin3 [17]

Answer:

I believe the answer is C. 90 degrees

Step-by-step explanation:

First you find the lengths of the two vectors, which are both $\sqrt{2}$ . Then you find the angle given the cos using: cos(∅)= $\frac{u*v}{|u|*|v|}$ = $\frac{0}{\sqrt{2}*\sqrt{2} }$ = 0. Then using ∅=acos(0)= $\frac{\pi }{2}$ = 90°

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